Polynomial Differentiation

 $f\left(x\right)=7x^4-9+5x^2$  

What is f'(x)?

•  $f'\left(x\right)=28x^3+10x$  

•  $f'\left(x\right)=28x^3-10x$  

•  $f'\left(x\right)=28x^4+10x^2$  

•  $f'\left(x\right)=280x^5$  

 $y=2x^3+7$  

What is the gradient of the curve when x=2?

• 23

• 16

• 8

• 24

 $y=12x^{-2}$   Which of the below is true?

•  $\frac{\text{d}x}{\text{d}y}=-24x^{-1}$  

•  $\frac{\text{d}x}{\text{d}y}=-144x^{-1}$  

•  $\frac{\text{d}x}{\text{d}y}=-24x^{-3}$  

•  $\frac{\text{d}x}{\text{d}y}=24x^{-3}$  

 $f\left(x\right)=3x^4$   What is he value of f ' (2)?

• 48

• 24

• 72

• 96

Find the derivative of the given equation
f(x) = x³ + x² + 3

• 3x² + 2x
• 3x + 2x 
• 3x + 2x + 3
• x³ + x² 

Tags

CCSS.HSA.APR.A.1

Find the derivative of f(x) = 2x²+3.

• 4x
• 4x²
• 3
• 4x+3

What is the derivative of xⁿ?

• (n-1)xⁿ
• nxⁿ⁺¹
• (n+1)x^n-1
• nx^n-1

Derivative means the same thing as

• slope of the tangent line
• slope of the normal line
• exponent
• potato

If a function has a derivative that is negative, what does that tell you?

• The function is increasing
• The function is decreasing

Differentiate f(x) = 5x⁷.

• 35x^6
• 210x^5
• 5x^6
• 1050x^4